Mr. Hart recorded the ratio of the minutes spent driving to the miles driven while on a road trip.

Miles Driven

Number of
Minutes Number of Miles
? 40
75 60
100 80

Which graph represents these pairs of values?

Answers

Answer 1

The graph representing the given pairs is represented by the equation y = (4/5)x + 40.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c

        {m} - slope                 {c} - intercept along the y - axis.

Given is that Mr. Hart recorded the ratio of the minutes spent driving to the miles driven while on a road trip.

The given table is as follows -

Number of Minutes {m} :      75         60

Number of Miles {M} :          100        80

The slope of this graph will be -

m = (80 - 60)/(100 - 75)

m = 20/25

m = 4/5

The equation of the line can be written as -

y = (4/5)x + c

For the point (75, 100) as follows -

100 = 4/5 x 75 + c

100 = 4 x 15 + c

c = 100 - 60

c = 40

The equation of the graph will be -

y = (4/5)x + 40

Refer to the graph attached.

Therefore, the graph representing the given pairs is represented by the equation y = (4/5)x + 40.

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Mr. Hart Recorded The Ratio Of The Minutes Spent Driving To The Miles Driven While On A Road Trip.Miles

Related Questions

y≥ −4x+10
Hello, I’m having trouble the the following question above. Can you help me please?
The question asks to name the A and B points
A: ( , )
B: ( , )

Answers

I'm assuming x and y intercepts which would be (2.5,0) and (0,10)

If you save up $100 every 2 weeks, how much money would you have in a year ?

Answers

alr! so we know that there are around 52 weeks in a year (not counting leap years). and you save up 100 bucks every 2 weeks. then to find the answer, we do...

100(52/2)

100(26)

= $2600

youre welcome!

what is the slope of the table below? 3/8 15/12 9/10 0/7

Answers

The  slope of the table below? 3/8 15/12 9/10 0/7 is 23.8

What is slope?

Slope is defined as the rate of change of y with respect to x.  Invariably, it it the rise in y over the run  in x. put differently, slope is increase over increase in x

The slope of a line is defined

S= (increase in y)/(Increase in x) = Δy/Δx

Slope = (0/7 - 18/12) ÷ (9/10 -3/8)

Slope = 15/12 ÷ 42/80

Simplify the fractions to have

Slope = 15/12 * 80/42

The slope = 1200/504

Slope of the table is given as 23.4

Conclusively, the table gives us a slope approximately 23

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A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedroom units within a half-mile of campus and the rents paid. The sample mean is $550 and the sample standard deviation is $60.05. Provide a 95% confidence interval estimate of the mean rent per month for the population of one-bedroom units within a half-mile of campus. Assume that population is normally distributed.

Answers

Answer:

(507.05, 592.95)

Step-by-step explanation:

Given data:

sample mean = $550, sample standard deviation S = $60.05

95% confidence interval , n = 10

For 95% confidence interval for the mean

mean ± M.E.

where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]

Substituting the values in above equation

[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]

= 2.62×18.99

=42.955

= 550±42.95

=(507.05, 592.95)

Please help giving brainliest please

Answers

The answer is A. You just need to add 117,000 + 71,500= 184,500. Is this answer fine?

find the volume of each figure

Answers

Answer:

1) 17.5×14×64

1568 in³

2) volume= 0.5×3.6×10×5=

→ 90

3) d= 13, r=13/2= 6.5, h= 19

→ v= πr²h→ π(6.5)²×19→ 2521.91 mm³

4) Base Area= a+b/2×h

→ (37+15)/2×25.7 cm²→26×25.7 cm²→ 668.2 cm²height= 20cmvoulme = 668.2×20→ 13364 cm²

5) L×W×H

→ 25×7×18→ 175×18→ 3150 ft³

6) v=πr²h

→ π(3.2²)(8)→ 81.92π→ 257.36 km²

[tex]------------[/tex]

hope it helps...

have a great day!!

[tex] \huge \boxed{1}[/tex]

→17.5 × 14 × 6.4

→1568 in³

[tex] \huge \boxed{2}[/tex]

→0.5 × 3.6 × 10 × 5

→90 m³

[tex] \huge \boxed{3}[/tex]

→ Diameter = 13 mm

→ Radius = 13/2 = 6.5

Height = 19 mm

→Volume => πr²h

=> 22/7 × (6.5)² × 19

=> 2521.91 mm³

[tex] \huge \boxed{4}[/tex]

→ Base Area → a+b/2×h

→ (37+15)/2×25.7 cm²

→26×25.7 cm²

→ 668.2 cm²

(height= 20cm)

→volume => 668.2×20

→13364 cm²

[tex] \huge \boxed{5}[/tex]

→Area→ L × B × H

→ 25×7×18

→ 175×18

→ 3150 ft³

[tex] \huge \boxed{6}[/tex]

→Volume → πr²h

→ π(3.2²)(8)

→ 81.92π

→ 257.36 km²

[tex] \boxed{Extra-Information}[/tex]

Always divide the diameter with 2 to get the radius.

Volume is expressed in cube³ unit.

[tex] \bold \green{TheExtraterrestrial}[/tex]

In ΔABC, the measure of ∠C=90°, AB = 86 feet, and CA = 61 feet. Find the measure of ∠A to the nearest degree.

Answers

Answer:

<A=45°

Hope this helps you

Answer:

45

Step-by-step explanation:

Worked Example:
Select all the expressions that have the same value as 4 1/2% of 50.
A. 0.045x50
B. 4.5%x50
C. 43%x50
D. 4.5x50
E. 0.45x50
F. 412x50

Answers

Answer:

Options A and B

------------------------------------------

4 1/2% of 50 is 4.5% of 50 which is same as:

4.5% × 50

or substituting % with 1/100,

4.5/100 × 50 = 0.045 × 50

The matching choices are A and B.

Kind of stuck any tips would also help!!

Answers

Answer:

Step-by-step explanation:

You must place in the question sign box the value of x that is above the question sign box because you are trying to fill out the y row.

Example: y=[tex]-\frac{0}{3} +2[/tex]= -0+2=2

Answer:

Step-by-step explanation:

tip:

plug the x values from the table ( the top row values ) into the equation

in this case its 0

BOX 1:

[tex]-\frac{0}{3} +2\\[/tex]

0 divided by anything = 0

so, 0 + 2 = 2

box 1 = 2

BOX 2:

[tex]-\frac{3}{3} +2[/tex]

3 div by 3 = 1 ( in this case negative 1 )

so, -1 + 2 = 1

box 2 = 1

BOX 3:

[tex]-\frac{6}{3} +2[/tex]

6 div by 3 = 2 ( in this case negative 2)

-2 + 2 = 0

box 3 = 0

Which list classifications for the figure

Answers

Answer: I think you forgot to post the picture

Step-by-step explanation:

PLEASE HELP, ASAP. I WILL MARK YOU BRAINLIEST‼️

Answers

Im sorry but i really cant see any of the words or number and ik this

9. Empty taxis pass by a street corner at a Poisson rate of two per minute and pick up a passenger if one is waiting there. Passengers arrive at the street corner at a Poisson rate of one per minute and wait for a taxi only if there are less than four persons waiting; otherwise they leave and never return. Ella arrives at the street corner at a given time. Find her expected waiting time, given that she joins the queue. Assume that the process is in steady-state.

Answers

Answer:

0.37

Step-by-step explanation:

To resolve the given problem we will apply

persistent time Markov chain :   n = 0, 1, . . . , 4

 n = number of individuals pausing

where The equalization conditions are : πn = ( πn - 1/2 )

Given that  :

n = 0,1,2,3,4

π0 = 1/( 1 + 2−1 + 2−2 + 2−3 + 2−4) = 0.52 = 16/31

Also the normal number of travelers found by Ella will be represented as

E(N) = (π1 + 2π2 + 3π3) / ( π0 + π1 + π2 + π3) ------- ( 1 )

where : π1 = 8,  π2 = 4,  π3 = 2 , π0 = 16/31  input values into equation 1

E ( N ) =  22/30

given that the True to form hanging tight time = 0.5

hence Holding holding time = E(N ) * 0.5

therefore  the expected waiting time for Ella = ( 22/30 ) * 0.5 = 0.37

evaluate the following polynomial when x = - 3
+6x² – 3x+5
2x

Answers

Answer:

-93

Step-by-step explanation:

Substitute by - 3 instead of X

A box office sold 147,523 tickets for an auto race.
Of this number, 68,724 tickets were for adults.
The rest were children's tickets.

How many children's tickets were sold?

78,709

81,799

121,201

Answers

Answer:

78,799 children's tickets

Step-by-step explanation:

147,523 total tickets, 68,724 adult tickets

Subtract to find amount of children's tickets:

147,523-68,724 = 78,799

Find the sum: −11−7−3+1+⋯+225

Answers

Answer:

205

Step-by-step explanation:

Step-by-step explanation:

-11-7-3+1+225

-21+1+225

-20+225

205

can someone please help me on this question?

Answers

Answer: D

Step-by-step explanation:

If the graph is shifted 5 units down, each output value should decrease by 5.

Write two numbers that are opposites and more than 6 units away from 0.

Answers

Answer:

-7, 7

Step-by-step explanation:

Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8) Hope that helps :)

Which is 3 logx + 4 log(x-2) written as a single logarithm?
logx (x - 2)
logx(x-2)
b. 12 logx(x - 2)
d. 12 logx(x-2)

Answers

Answer:

The answer is [tex]12\log{(x(x-2))}[/tex]

Step-by-step explanation:

Exponential property of logarithm:

We have that:

[tex]a \log{x} = \log{x^{a}}[/tex]

Sum of logarithms:

We have that:

[tex]\log{a} + \log{b} = \log{ab}[/tex]

Applying the exponential property:

[tex]3\log{x} = \log{x^3}[/tex]

[tex]4\log{(x-2)} = \log{(x-2)^4}[/tex]

So

[tex]3\log{x} + 4\log{x-2} = \log{x^3} + \log{(x-2)^4}[/tex]

Additive property

[tex]\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}[/tex]

Exponential property:

[tex]\log{(x(x-2))^12} = 12\log{(x(x-2))}[/tex]

The answer is [tex]12\log{(x(x-2))}[/tex]

What is the distance, rounded to the nearest tenth, between the points (-2,4) and (6,-4)?

Answers

Answer: (11,3)




HOPE ITS HELP

What is the gravitational potential energy of a 55-kg person that has climber a 4,000 meter tall mountain?

Bonus: if one snickers bar is 1,100,000 joules of energy, how many snickers bars would provide enough fuel to climb the mountain ?

Answers

Answer:

2156000 J.

Bonus: 2 snickers bar

Step-by-step explanation:

Applying

P.E = mgh................. Equation 1

Where P.E = Gravitational potential energy, m = mass of the person, h = height of the mountain, g = acceleration due to gravity.

From the question,

Given: m = 55 kg, h = 4000 m

Constant: g = 9.8 m/s²

Substitute these values into equation 1

P.E = (55×4000×9.8)

P.E = 2156000 J.

If one snikers bar is 1100000 J of energy,

Then, (2156000/1100000) snickers bar would be enough to climb the mountain

Number of snickers bar =  (2156000/1100000)  = 1.96 ≈ 2

Use the figures to complete the statements proving the converse of the Pythagorean theorem.

Drag and drop a phrase, value, or equation into the box to correctly complete the proof.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
To prove the converse of the Pythagorean theorem, we can define a right triangle, Response area, with sides a, b, and x. Then, we will show that if ​△ABC​ is a triangle with sides a, b, and c where a² + b² = c², then it is congruent to △DEF and therefore a right triangle.

By the Pythagorean theorem, because ​△DEF​ is a right triangle, a² + b² = x².

If ​​a² + b² = x² and a² + b² = c² ​​, then c² = x². Further, since sides of triangles are positive, then we can conclude that ​c = x​. Thus, the two triangles have congruent sides and are congruent.

If ​△ABC​ is congruent to a right triangle, then it must also be a right triangle.

Answers

To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.

\What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

ΔABC and ΔDEF

To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.

Thus,

ΔDEF is filled in the box.

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Solve for l:
[tex]v = \frac{ \sqrt{l + t} }{2 \sqrt{l} } [/tex]
.....​

Answers

Answer:

l = t/4v² - 1

Step-by-step explanation:

Given the expression

v = √l+t/2√l

We are to make l the subject of the formula as shown;

Cross multiply

2v√l =  √l+t

Square both sides

(2v√l)² =  (√l+t)²

4v²l = l+t

t = 4v²l - l

t = l(4v² - 1)

Divide both sides by 4v² - 1

t/4v² - 1 = l(4v² - 1)/4v² - 1

t/4v² - 1 = l

Swap

l = t/4v² - 1

Hence the required expression for l is t/4v² - 1

Find the exact value of the expression

Answers

Answer:

here is the correct answer

Graph the function n(x) = |x6|.
+Move Ray
-6
-4
-2
104
9
4
2
0
-2
Undo
2
4
Redo
6
x Reset
8
10

Answers

Answer:

x

)

=

2

x

4

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

1

x−1?

Which graph represents an exponential function?

Answers

Answer:

The answer to your question is the third one

Step-by-step explanation:

The first graph is the graph of a

The second graph is of a rational function

The third one is of an exponential function

vasta third one dzuh

Any graph that looks like the above (big on the left and crawling along the x-axis on the right) displays exponential decay, rather than exponential growth. For a graph to display exponential decay, either the exponent is "negative" or else the base is between 0 and 1.

Someone please help with this!

Answers

Answer:

27/1

Step-by-step explanation:

3³=3·3·3=27

27=27/1


What is the range of the function x is 0 and y is 40

Answers

Answer:

range is y-coordinates so it should be 40

Step-by-step explanation:

domain is x-coordinates

The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular vinegar if the pH level is 2.5. (5 points)
3.979 x 10–1
9.536 x 103
3.162 x 102
3.162 x 10–3

Answers

The value of hydronium ion concentration in the vinegar is 3.162×10^-3 (optionD)

What is pH?

pH is defined as the negative log of the hydrogen ion concentration. The range of pH extends from zero to 14. A pH value of 7 is neutral, because pure water has a pH value of exactly 7.

pH can also be defined as the measure of acidity and alkalinity of a substance.

pH = –log(H+)

Therefore (H+) = 10^-(pH)

For a pH of 2.5, the hydronium ion concentration

= 10^-2.5

(H+) = 0.003162 = 3.162×10^-3

Therefore hydronium ion concentration of the vinegar is 3.162×10^-3

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express each number as a product of two fractions 1/5

Answers

Answer:

Theres nothing to solve for wheres the numbers?

Step-by-step explanation:

Bernita and Rosalee are comparing their heights. Bernita is 1.63
meters tall. Rosalee is 19 centimeters shorter than Bernita.
What is Rosalee's height in centimeters?

Answers

Answer:

1.44

Step-by-step explanation:

1.63-.19= 1.44

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